Question

Is there an association between party affiliation and​ gender? The accompanying data represent the gender and party affiliation of registered voters based on a random sample of 800 adults. Complete parts​ (a) through​ (f).

	Females	Males
Republicans	105	115
Democrat	150	101
Independent	150	179

(a) Construct a frequency marginal distribution.

​(b) Construct a relative frequency marginal distribution.

​(c) What proportion of registered voters considers themselves to be​ Independent?

(d) Construct a conditional distribution of party affiliation by gender.

(e) Draw a bar graph of the conditional distribution found in part​ (d).

(f) Is gender associated with party​ affiliation? If​ so, how?

Answer 1

a)

	Female	Male	Frequency Marginal Distribution for gender
Republican	105	115	220
Democrat	150	101	251
Independent	150	179	329
Frequency Marginal Distribution for Political Party	405	395	800

b)

	Female	Male	Relative Frequency Marginal Distribution for gender
Republican	105	115	220/800=0.275
Democrat	150	101	0.314
Independent	150	179	0.411
Relative Frequency Marginal Distribution for Political Party	0.506	0.494	1

c)

As per the table it is 0.411. Therefore, 41.1% are independent

d)

f)

Yes. The women are more likely to be democrats and less likely to be independents in comparison to men